A surface enveloping-assisted approach on cutting edge calculation and machining process simulation for skiving

Jia, Ke; Zheng, Shuai; Guo, Junkang; Hong, Jun

doi:10.1007/s00170-018-2799-7

“…For the convenience of evaluating the accuracy of this method, an internal helical involute gear power skiving was simulated with the parameters listed in Table . 1, since the cutter and the gear blank are meshing as a pair of standard involute gear with same normal module and normal pressure angle. At first, the standard involute curve like cutting edges for two types of rake flanks were calculated by method in [20]. Then, the cutting edge curve and the enveloping curves on the gear transversal section for case-1 were demonstrated as in Fig.…”

Section: Simulation For Internal Gear Power Skivingmentioning

confidence: 99%

“…Firstly, according to the equidistance line of short epicycloid shown in Fig. 9(a), the cutting edge curve are calculated by [20], and the external power skiving is setup as in Fig. 9(b).…”

Section: Simulation For Cycloid Wheel Power Skivingmentioning

confidence: 99%

“…Shih and Li [19] proposed an error-free conical power skiving cutter design method via meshing theory with considering the variation of center distance. Jia et al [20] developed a discrete enveloping-assisted cutting edge curve calculation method for skiving cutter. Li et al [21] studied the design of power skiving tool with considering the interference and minimizing the machining deviations.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Mathematical modelling of power skiving for general profile based on numerical enveloping

Jia

¹

,

Guo

²

,

Ma

³

et al. 2021

Int J Adv Manuf Technol

Self Cite

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Power skiving is an effective generating machining method for internal parts like gears with respect its high productivity. The general mathematic modelling for power skiving is the basis for cutting tools design, machining precision evaluation, and machining process optimization. Currently, mainly studies are focus on the involute gear machining with adopting the analytical enveloping equation. However, these analytical methods have failed to deal with overcutting for general profile skiving tasks. Moreover, little attention has been devoted to investigate the power skiving process with taking variable configuration parameters, which is significant to control the machined surface topography. Herein, we introduce a mathematic modelling method for power skiving with general profile based on the numerical discrete enveloping. Firstly, the basic mathematic model of power skiving is established, in which the center distance is formulated as polynomial of time. With transforming the power skiving into a forming machining of the swept volume of cutting edge, a numerical algorithm is designed to distinguish the machined transverse profile via the discrete enveloping ideology. Especially, the precise instant contact curve is extracted according to the feed motion speed inversely. Finally, simulations for involute gear and cycloid wheel are carried out to verify the effectiveness of this method and investigate the influence of variable radial motions on the machined slot surface topography. The results show this method is capable to simulate the dynamic power skiving process with general profiles and to evaluate the machined results.

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“…Among the latest research, the theory of conjugate surface [12,13] is the most commonly used. Based on this theory, some error-free design methods [14,15] for the cutting edge have been proposed. In addition, Guo et al [16] proposed a novel skiving tool with multiple subblades on the rake face to improve the tool life.…”

Section: Introductionmentioning

confidence: 99%

Research on the Cutting Principle and Tool Design of Gear Skiving Based on the Theory of Conjugate Surface

Wang

¹

,

Li

²

,

Han

³

2021

Mathematical Problems in Engineering

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Tool design is one of the key factors that restrict the development of gear skiving technology since the design principle does not correspond to the cutting principle. The existing skiving tool cannot achieve ideal machining accuracy and reasonable cutting angles. In view of this, some research has been done in this paper. Firstly, the skiving principle is investigated essentially according to the skiving motions. Then, the principle of tool design is analyzed based on the theory of conjugate surface, and a new tool design method is proposed to match the skiving principle. For this, all the skiving patterns for various kinds of workpieces are enumerated and summarized to abstract a normalized skiving model. Based on this, the mathematical model of the conjugate surface is then derived to lay the foundation for tool design. Then, the design methods of cutting edge, rake face, and flank face are proposed. An example is presented at last, and the cutting simulation is conducted. The result proves that the proposed methods are correct and valid. The theoretical research in this paper could promote the improvement of skiving tools.

show abstract

“…Shih and Li [19] proposed an error-free conical power skiving cutter design method via meshing theory with considering the variation of center distance. Jia et al [20] developed a discrete enveloping-assisted cutting edge curve calculation method for skiving cutter. Li et al [21] studied the design of power skiving tool with considering the interference and minimizing the machining deviations.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Modelling of Power Skiving for General Profile based on Numerical Enveloping

Kang

¹

,

Guo

²

,

Ma

³

et al. 2021

Preprint

Self Cite

0

View full text Add to dashboard Cite

Power skiving is an effective generating machining method for internal parts like gears with respect its high productivity. The general mathematic modelling for power skiving is the basis for cutting tools design, machining precision evaluation, and machining process optimization. Currently, mainly studies are focus on the involute gear machining with adopting the analytical enveloping equation. However, these analytical methods have failed to deal with overcutting for general profile skiving tasks. Moreover, little attention has been devoted to investigate the power skiving process with taking variable configuration parameters, which is significant to control the machined surface topography. Herein, we introduce a mathematic modelling method for power skiving with general profile based on the numerical discrete enveloping. Firstly, the basic mathematic model of power skiving is established, in which the center distance is formulated as polynomial of time. With transforming the power skiving into a forming machining of the swept volume of cutting edge, a numerical algorithm is designed to distinguish the machined transverse profile via the discrete enveloping ideology. Especially, the precise instant contact curve is extracted according to the feed motion speed inversely. Finally, simulations for involute gear and cycloid wheel are carried out to verify the effectiveness of this method and investigate the influence of variable radial motions on the machined slot surface topography. The results show this method is capable to simulate the dynamic power skiving process with general profiles and to evaluate the machined results.

show abstract

A surface enveloping-assisted approach on cutting edge calculation and machining process simulation for skiving

Cited by 21 publications

References 16 publications

Mathematical modelling of power skiving for general profile based on numerical enveloping

Mathematical modelling of power skiving for general profile based on numerical enveloping

Research on the Cutting Principle and Tool Design of Gear Skiving Based on the Theory of Conjugate Surface

Mathematical Modelling of Power Skiving for General Profile based on Numerical Enveloping

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